Fullerenes and disk-fullerenes

DOI10.1070/RM2013v068n04ABEH004850zbMath1281.52003MaRDI QIDQ2868457

Mathieu Dutour Sikirić, Michel Marie Deza, Mikhail Shtogrin

Publication date: 17 December 2013

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

polygonconvex polyhedronplanar graphfullerenepatchdisk-fullerene

Mathematics Subject Classification ID

Related Items (7)

Truncations of simple polytopes and applications ⋮ Construction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal face ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ Three-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructions ⋮ Clar structure and fries set of fullerenes and \((4,6)\)-fullerenes on surfaces ⋮ Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes

Cites Work

• Classification and generation of nanocones
• On forcing matching number of boron-nitrogen fullerene graphs
• Ring of simple polytopes and differential equations
• Boris Nikolaevich Delone (Delaunay): life and work
• Filling of a given boundary by \(p\)-gons and related problems
• Properties of faces of parallelohedra
• Regular Dirichlet-Voronoi partitions for the second triclinic group
• Three-, four-, and five-dimensional fullerenes
• Zonotopes, dicings, and Voronoi's conjecture on parallelohedra
• An extension of Voronoï's theorem on primitive parallelotopes
• The theory of quality translations with applications to tilings
• Generatrissa: the problems of Maxwell and Voronoi
• The extension theorem
• Clusters of cycles
• Boundary uniqueness of fusenes
• There are exactly 222 \(L\)-types of primitive five-dimensional lattices
• Maximal finite groups of integral \(n \times n\) matrices and full groups of integral automorphisms of positive quadratic forms (Bravais models)
• Parallelohedra: A retrospective and new results
• Affine Equivalent Classes of Parallelohedra
• New examples of generalized fullerenes
• Types and boundary uniqueness of polypentagons
• The contraction types of parallelohedra inE⁵
• Fullerene patches I
• Which Tetrahedra Fill Space?
• Convex Polyhedra
• Zigzag Structures of Simple Two-Faced Polyhedra
• A Set of Topological Invariants for Graphs
• Degeneracy criterion for a convex polyhedron
• On a simple tiling of Deza and Shtogrin
• Space fullerenes: a computer search for new Frank–Kasper structures
• The Number of Hexagons and the Simplicity of Geodesics on Certain Polyhedra
• Embeddings of chemical graphs in hypercubes
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